A Simulation Method of 2D Steady Scalar Convection-Diffusion Flow on an Exponentially Graded Mesh

Owing to its fundamental nature, convection-diffusion flows are researched in a number of engineering, scientific, and aeronautical applications. The right meshing approaches necessary for simulations. Major meshes computational fluid dynamics that used find the solutions discretized governing equations include uniform, piecewise-uniform, graded, hybrid meshes. Unintentionally applying might lead poor including numerical oscillations, over- or under-predictions, lengthy computing time. Accentuating effectiveness exponentially graded mesh finite-difference scheme, this paper takes simulation 2D steady scalar into account. problem was solved by assigning certain expansion factor according Peclet number. determined based on previously derived logarithmically linear relationship with low Based values source, eight groups test cases presented paper. It found given number, error percentage surprisingly constant regardless source values. rates convergence however, were comparable respect Uniform rate also be achievable all corresponding interests. This work successfully assessed validity range generalized model between simulation.